Trig Integrals

Question 1

Integral of sinxdx

Answer 1

-cosx +c

Question 2

Integral of cosxdx

Answer 2

sinx + c

Question 3

Integral of tanxdx

Answer 3

ln absval (secx) + c

Question 4

Integral of cscxcotxdx

Answer 4

-cscx + c

Question 5

Integral of secxdx

Answer 5

ln absval(secx+tanx) + c

Question 6

Integral of (secx)^2 dx

Answer 6

tanx + c

Question 7

Integral of (cscx)^2 dx

Answer 7

-cotx +c

Question 8

Integral of secxtanx dx

Answer 8

secx + c

Question 9

Integral of cscxdx

Answer 9

ln absval(cscx-cotx) + c

Question 10

Integral of 1/(sqrt(a^2-x^2))

Answer 10

arcsin(x/a)

Question 11

Integral of -1/(sqrt(a^2-x^2))

Answer 11

arccos(x/a) + c

Question 12

Integral of 1/(a^2+x^2)

Answer 12

(1/a) arctan(x/a) + c